Answer:

Step-by-step explanation:
The nth term of the given arithmetic sequence is

The first term of this series is:

The last term of this series is when



The sum of the first n terms of an arithmetic series when the first an last term is known is given by:

Where a=5 is the first term and l=27 is the last term.


Answer:
d.
Step-by-step explanation:
if x varies directly as y,
x = ky
8 = 12k
12k = 8
k = 8/ 12
k = 2/3,
x = 2/3 y
now substitute the value of any of the numbers of each pair, and check if it works:
for e.g, find x when y = 15
x = 2/3y
x = 2/3 × 15
x = 10
since you obtain x = 10 when y = 15, the pair is a possible corresponding value of x and y. now do the same for the rest .
ii) x = 2/3y
x = 2/3 × 3, when y = 3
x = 2
hence, this is also a possible pair of x and y values.
iii) x = 2/3y
x = 2/3 × 9 when y = 9
x = 6
again, a possible pair of x and y values.
iv) x = 2/3y
x = 2/3 × 20 when y = 20
x = 40/3
here, when y = 20, x is not 15. it is 40/3.
thus, it can be determined that this is not a possible pair of x and y values.
please try to understand and have a great day!
Answer:
x is equal to 11...........
You would need 48 fifty dollar bills to make up 2,400 and you would need 5 five dollar bills to make up the 25, so then you’d have your answer which is $2,425.
It’s A 44-1) and if not then it’s b